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Simplifying 2u + 32 = 7(u + 1) Reorder the terms: 32 + 2u = 7(u + 1) Reorder the terms: 32 + 2u = 7(1 + u) 32 + 2u = (1 * 7 + u * 7) 32 + 2u = (7 + 7u) Solving 32 + 2u = 7 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 32 + 2u + -7u = 7 + 7u + -7u Combine like terms: 2u + -7u = -5u 32 + -5u = 7 + 7u + -7u Combine like terms: 7u + -7u = 0 32 + -5u = 7 + 0 32 + -5u = 7 Add '-32' to each side of the equation. 32 + -32 + -5u = 7 + -32 Combine like terms: 32 + -32 = 0 0 + -5u = 7 + -32 -5u = 7 + -32 Combine like terms: 7 + -32 = -25 -5u = -25 Divide each side by '-5'. u = 5 Simplifying u = 5
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